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Predicting microporosity and permeability in clastic reservoirs is a challenge in reservoir quality assessment, especially in formations where direct measurements are difficult or expensive. These reservoir properties are fundamental in…

地球物理 · 物理学 2025-03-24 Muhammad Risha , Mohamed Elsaadany , Paul Liu

Probabilistic graphical models are a fundamental tool in probabilistic modeling, machine learning and artificial intelligence. They allow us to integrate in a natural way expert knowledge, physical modeling, heterogeneous and correlated…

机器学习 · 统计学 2021-07-20 Panagiota Birmpa , Jinchao Feng , Markos A. Katsoulakis , Luc Rey-Bellet

Due to lack of scientific understanding, some mechanisms may be missing in mathematical modeling of complex phenomena in science and engineering. These mathematical models thus contain some uncertainties such as uncertain parameters. One…

概率论 · 数学 2012-04-05 Jinqiao Duan , Ting Gao , Guowei He

A constitutive model based on the combination of damage mechanics and plasticity is developed to analyse the failure of concrete structures. The aim is to obtain a model, which describes the important characteristics of the failure process…

材料科学 · 物理学 2013-07-29 Peter Grassl , Dimitrios Xenos , Ulrika Nystrom , Rasmus Rempling , Kent Gylltoft

This paper addresses the problem of quantification and propagation of uncertainties associated with dependence modeling when data for characterizing probability models are limited. Practically, the system inputs are often assumed to be…

统计计算 · 统计学 2020-04-14 Jiaxin Zhang , Michael D. Shields

This paper presents a novel numerical method for the hybrid reliability analysis by using the uncertainty theory. Aleatory uncertainty and epistemic uncertainty are considered simultaneously in this method. Epistemic uncertainty is…

计算工程、金融与科学 · 计算机科学 2020-09-18 Lei Zhang

Manufactured metallic components often contain non-uniformly distributed pores of complex morphologies. Since such porosity defects have significant influence on material behaviors and affect the usage in high-performance applications, it…

计算工程、金融与科学 · 计算机科学 2022-03-31 Shiguang Deng , Carl Soderhjelm , Diran Apelian , Krishnan Suresh

An important issue in additive manufacturing is the reliability and reproducibility of parts. One major problem in achieving this are uncontrolled local variations in the obtained material properties which arise in the complex manufacturing…

最优化与控制 · 数学 2017-07-18 Jannis Greifenstein , Michael Stingl

Optimization in engineering requires appropriate models. In this article, a regression method for enhancing the predictive power of a model by exploiting expert knowledge in the form of shape constraints, or more specifically, monotonicity…

Uncertainty quantification (UQ) plays a critical role in verifying and validating forward integrated computational materials engineering (ICME) models. Among numerous ICME models, the crystal plasticity finite element method (CPFEM) is a…

材料科学 · 物理学 2023-01-27 Anh Tran , Pieterjan Robbe , Tim Wildey , David Montes de Oca Zapiain , Hojun Lim

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

数值分析 · 数学 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

Machine-learning models of atomic-scale interactions achieve the accuracy of the quantum mechanical calculations on which they are trained, but at a dramatically lower computational cost. Their predictions can be made trustworthy by…

The extreme miniaturization in modern technology calls for deeper insights into the non-conventional, fluctuation dominated mechanics of materials at micro- to nano-scales. Both experiments and simulations show that sub-micron…

材料科学 · 物理学 2019-11-11 Peng Zhanga , Oguz Umut Salman , Jin-Yu Zhang , Gang Liu , Jérôme Weiss , Lev Truskinovsky , Jun Sun

Existing approaches to model uncertainty typically either compare models using a quantitative model selection criterion or evaluate posterior model probabilities having set a prior. In this paper, we propose an alternative strategy which…

统计方法学 · 统计学 2025-03-26 Vik Shirvaikar , Stephen G. Walker , Chris Holmes

FeFETs hold strong potential for advancing memory and logic technologies, but their inherent randomness arising from both operational cycling and fabrication variability poses significant challenges for accurate and reliable modeling.…

机器学习 · 计算机科学 2025-08-06 Tasnia Nobi Afee , Jack Hutchins , Md Mazharul Islam , Thomas Kampfe , Ahmedullah Aziz

Owing to their periodic and intricate configurations, metamaterials engineered for acoustic and elastic wave control inevitably suffer from manufacturing anomalies and deviate from theoretical dispersion predictions. This work exploits the…

应用物理 · 物理学 2020-08-12 H. Al Ba'ba'a , S. Nandi , T. Singh , M. Nouh

Fiber orientation is decisive for the mechanical performance of composite materials. During manufacturing, variations in material and process parameters can influence fiber orientation. We employ multilevel polynomial surrogates to model…

计算工程、金融与科学 · 计算机科学 2025-03-18 Stjepan Salatovic , Sebastian Krumscheid , Florian Wittemann , Luise Kärger

In this article we study the problem of quantifying the uncertainty in an experiment with a technical system. We propose new density estimates which combine observed data of the technical system and simulated data from an (imperfect)…

统计理论 · 数学 2020-12-21 Sebastian Kersting , Michael Kohler

Quantifying the relationship between geometric descriptors of microstructure and effective properties like permeability is essential for understanding and improving the behavior of porous materials. In this paper, we employ a previously…

In a companion paper, equations for partially molten media were derived using two-scale homogenization theory. One advantage of homogenization is that material properties, such as permeability and viscosity, readily emerge. A caveat is that…

地球物理 · 物理学 2015-05-13 Gideon Simpson , Marc Spiegelman , Michael I. Weinstein